The presence of a free surface in certain flows is a source of complexity.
The objectives are that the students should be able to:
In a Second part the course will focus on the modeling and numerical simulation of incompressible fluid with a free surface (shock capturing methods for the shallow water equations). It will comprise complements centered on the Navier Stokes equations modeling in primitive variables and an applications with structured programing.
Basic concepts in open channel flows: the Froude number, critical depth, the hydraulic jump.
The uniform flow: velocity vertical profile, flow resistance, Chézy equation, normal depth
Nonuniform flow in gradually varying channel sections: water depth computation in non uniform flows, channel controls.
Channel transitions: bottom step, channel contraction,
specific energy Hs, Hs-h diagram
Navier Stokes equation numerical resolution techniques in primitive variables with shock capturing techniques. A in-house Navier Stokes software will be used by the students during their personal project.Prerequisites
Basic knowledge on ordinary differential equations
Session normale / First session
Contrôle continu / Continuous assessment (CC) :
Session de rattrapage / Second session
La note obtenue remplace la note de CT / Another exam will replace the first one (CT)
Le CC n'est pas rattrapable / No retake for CC
CC 50% + CT 50%
The exam may be taken in french or in english
The course exists in the following branches:
Course ID : 4EUS4HSL
You can find this course among all other courses.
«Open channel flow», Henderson (1966).
«Open channel hydraulics», French (1986).
«Hydraulique fluviale», Graf (1993).
«Constructions hydrauliques», Sinniger & Hager (1989).
«Open channel hydraulics», T.W. Sturm (2001).
«Open-channel flow», S.C. Jain (2000).
«The hydraulics of open channel flow: an introduction », H. Chanson (2004)
Date of update February 8, 2017